$p$-adic field search results

Results (6 matches)

 

Label	$n$	Polynomial	$p$	$e$	$f$	$c$	Galois group	$u$	$t$	Visible slopes	Slope content	Unram. Ext.	Eisen. Poly.	Ind. of Insep.	Assoc. Inertia
2.10.14.1	$10$	$x^{10} + 2 x^{8} + 2 x^{7} + 2 x^{6} + 2 x^{5} + 2 x^{4} + 2$	$2$	$10$	$1$	$14$	$F_{5}\times C_2$ (as 10T5)	$4$	$5$	$[2]$	$[2]_{5}^{4}$	$t + 1$	$x^{10} + 2 x^{8} + 2 x^{7} + 2 x^{6} + 2 x^{5} + 2 x^{4} + 2$	$[5, 0]$	$[1, 4]$
2.10.14.5	$10$	$x^{10} + 2 x^{5} + 6$	$2$	$10$	$1$	$14$	$F_{5}\times C_2$ (as 10T5)	$4$	$5$	$[2]$	$[2]_{5}^{4}$	$t + 1$	$x^{10} + 2 x^{5} + 6$	$[5, 0]$	$[1, 4]$
2.10.19.1	$10$	$x^{10} + 4 x^{5} + 2$	$2$	$10$	$1$	$19$	$F_{5}\times C_2$ (as 10T5)	$4$	$5$	$[3]$	$[3]_{5}^{4}$	$t + 1$	$x^{10} + 4 x^{5} + 2$	$[10, 0]$	$[1, 4]$
2.10.19.17	$10$	$x^{10} + 2 x^{8} + 4 x^{7} + 4 x^{5} + 4 x^{2} + 10$	$2$	$10$	$1$	$19$	$F_{5}\times C_2$ (as 10T5)	$4$	$5$	$[3]$	$[3]_{5}^{4}$	$t + 1$	$x^{10} + 2 x^{8} + 4 x^{7} + 4 x^{5} + 4 x^{2} + 10$	$[10, 0]$	$[1, 4]$
2.10.19.33	$10$	$x^{10} + 6 x^{8} + 4 x^{4} + 4 x^{2} + 2$	$2$	$10$	$1$	$19$	$F_{5}\times C_2$ (as 10T5)	$4$	$5$	$[3]$	$[3]_{5}^{4}$	$t + 1$	$x^{10} + 6 x^{8} + 4 x^{4} + 4 x^{2} + 2$	$[10, 0]$	$[1, 4]$
2.10.19.49	$10$	$x^{10} + 10$	$2$	$10$	$1$	$19$	$F_{5}\times C_2$ (as 10T5)	$4$	$5$	$[3]$	$[3]_{5}^{4}$	$t + 1$	$x^{10} + 10$	$[10, 0]$	$[1, 4]$